animate 3d plot with some further requirements in mathematica -

-

i posted @ this post before, still not solve following problem completely. example:

{pa, pb, pc, pd} = {{0, 0, sqrt[61/3]}, {sqrt[7], 4*sqrt[2/3], 0}, {0, -5*sqrt[2/3], 0}, {-sqrt[71], 4*sqrt[2/3], 0}}; axis={1,0,0};pt={0,1,0}; plotpolygon[{a_, b_, c_}] := {opacity[.4], polygon[{a, b, c}]}; graph=graphics3d[{plotpolygon[{pa, pb, pc}], plotpolygon[{pa, pb, pd}],              plotpolygon[{pb, pc, pd}], plotpolygon[{pa, pc, pd}]},              axes -> true, axesorigin->pt]; animate[graph/.gg : graphics3d[___] :> rotate[gg, theta, axis], {theta, 0., 2.*pi}]

enter image description here

i want rotate along axis axis={1,0,0} passes point pt={0,1,0}. don't know how specify point information. rotation animation seems chaotic in sense expect @ least 1 point (in case, origin?) not rotating.

you need first change origin of vertices of polygon, rotate, , translate back. can hand

(rotationmatrix[theta,axis].(#-pt) + pt)& /@ {pa, pb, pc, pd}

or, can combine transformations using composition

composition[  affinetransform[{rotationmatrix[theta,axis],pt}],translationtransform[-pt] ] /@ {pa, pb, pc, pd}

or, can take previous composition , apply directly graphics object

geometrictransformation[ <graphics>, composition[ ... ]]

this documentation gives thorough list of can done.

edit: here's working animation script

animate[   graph /. graphics3d[prims__, opts : optionspattern[]] :>      graphics3d[       geometrictransformation[prims,         composition[           affinetransform[{rotationmatrix[theta, axis], pt}],           translationtransform[-pt]         ]       ],       opts     ],    {theta, 0., 2.*pi} ]

there's couple of things note here. first, geometrictransformation appears work on primitives themselves, had split out primitives options in graphics3d via rule graphics3d[prims__, opts : optionspattern[]]. also, transformation needs within animate use local version of theta.


Comments

Post a Comment

Popular posts from this blog

razor - Is this a bug in WebMatrix PageData? -

-
i think may have found bug in webmatrix's pagedata, not sure. concerns how pass data partial page calling page. in webmatrix documentation (tutorials, e.g. " 3 - creating consistent look ", , example code), pagedata recommended mechanism pass data between pages (e.g. content page layout page, or partial page). however have found not work other way, pass data partial page calling page. modifying or adding entries in pagedata in partial page, not seem calling page. cutting right down simplest possible example, in test page may have this: @{ pagedata["test"] = "initial entry"; } <p>before calling partial page, test value @pagedata["test"]</p> @renderpage("_testpartial.cshtml") <p>after returning calling page, test value @pagedata["test"]</p> and in _testpartial.cshtml page might have this: @{ pagedata["test"] = "modified entry"; } <p>in partial page...
Read more

c# - How to set Z index when using WPF DrawingContext? -

-
how set z-index drawing object when using drawingcontext.drawxxx() methods? the object drawn last have higher z index. can't change index of drawn objects. way draw in order. if using wpf (as placed tag), can use, example, canvas control. create shapes need like polyline obj = new polyline(); //... // ... set properties of obj and add them canvas uielementcollection: yourcanvasname.children.add(obj); //or yourcanvasname.children.insert(i, obj); first items of collection have higher z index. advantages in way: no need redraw on window changes, can anytime move objects , change order.
Read more

visual c++ - Using relative values in array sorting ( asm ) -

-
i need sort through array , sort each individual row in array in ascending order. doesn't seem going (surprise!) keep getting hit 2 errors: a2101: cannot add 2 relocatable labels , a2026: constant expected here's sort, makes sense me, think i'm still trying implement high-lvl language techniqes assembly. there way around not being able use relative values? (the array 7 rows 9 columns, btw). mov cx, 7; cx = number of rows outer: ; outer loop walk through rows push cx mov cx, 9 mov row, cx ;rows middle: ; middle-loop walk through columns push cx sub cx, 1 ;cx = cx-1 mov column, cx ;columns inner: ;inner loop - compare , exchange column values cmp marray[row*9 + column], marray[row*9 + column+1] xchg marray[row*9 + column+1], marray[row*9 + column] ; compare , exchange values marray table inc column loop inner pop cx loop mid...
Read more